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Finding the Fourth Proportional to 103,518.39, 155,277.40 and 32,446.49

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Solution

The fourth proportional to 103,518.39, 155,277.40 and 32,446.49 is: 48,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,518.39 : 155,277.40 = 32,446.49 : x
  2. Step 2: Convert to fraction form
    103,518.39/155,277.40 = 32,446.49/x
  3. Step 3: Cross multiply
    103,518.39x = 155,277.40 × 32,446.49
  4. Step 4: Simplify right side
    103,518.39x = 5,038,206,606.33
  5. Step 5: Solve for x
    x = 5,038,206,606.33/103,518.39
  6. Step 6: Final answer
    x = 48,669.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.